Proceedings "Wascom 2003" 12th Conference on Waves and Stability in Continuous Media: Villasimius (Cagliari) Italy

by Monaco, Roberto; Pennisi, Sebastiano; Rionero, Salvatore; Ruggeri, Tommaso

• ISBN13: 9789812387486
• ISBN10: 981238748X
• Format: Hardcover
• Copyright: 2004-06-01
• Publisher: World Scientific Pub Co Inc

Summary

This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years.

Table of Contents

Multi-physics models in electric network design	p. 1
Time-periodic solutions to hydrodynamical models for semiconductors	p. 7
A two population model for electron transport in Si	p. 13
On the time evolution of QM[subscript [infinity]] systems : an algebraic approach	p. 26
Chaos in some linear kinetic models	p. 32
Characterization of time periodic behaviour by proper orthogonal decomposition	p. 38
Inverse problems in photon transport : Part I : determination of physical and geometrical features of an interstellar cloud	p. 52
Inverse problems in photon transport : Part II : features of a source inside an interstellar cloud	p. 60
Rigorous derivation of Kane models for interband tunneling	p. 70
Quantum hydrodynamic equations for a two-band Wigner-Kane model	p. 78
Hydrodynamic limit for a gas with chemical reactions	p. 85
An exact macroscopic extended model with many moments for ultrarelativistic gases	p. 94
The Riemann problem for a binary non-reacting mixture of Euler fluids	p. 102
On the onset of convection for a double diffusive mixture in a porous medium under periodic in space boundary data	p. 109
A variational problem with non-local constraints	p. 116
On the Riemann problem for a reacting mixture of gases	p. 122
Planar DVMS mixtures models with the same geometrical structure	p. 133
Shock-like travelling wave solutions for a hyperbolic tumour growth model	p. 141
Soliton-like solutions for a capillary fluid	p. 148
Rate of convergence toward the equilibrium in degenerate settings	p. 153
A mathematical model for a sole larval population with two time scales	p. 166
Free energies in the materials with fading memory and applications to PDEs	p. 172
Computation of the phase fraction in a discrete model of a pseudoelastic material	p. 185
Andrews nutrient uptake and linear quorum sensing in allelopathic competition models	p. 191
Iterative discontinuities and wave propagation	p. 204
Asymptotic and other properties of positive definite integral measures for nonlinear diffusion	p. 221
Reduction approaches for a quasilinear nonautonomous diffusion equation	p. 230
Symmetry reduction of a model in spherical symmetry for benign tumor	p. 241
Global stability of flows in a divergent channel	p. 247
Thermocapillary fluid and adiabatic waves near its critical point	p. 254
Dynamics of the rigid bodies and celestial mechanics	p. 269
Exact steady solution to a nonlinear integral equation of the particle transport theory	p. 275
Constitutive models for atactic elastomers	p. 281
A globally stable Lyapunov non linear controller for the attitude of a platform equipped with a system of actuating gyroscopes	p. 295
Delayed feedback control for the Benard problem	p. 303
Mobility in GaAs semiconductors	p. 309
Noncanonical Poisson brackets in deformed special relativity	p. 316
Blood perfusion in muscles : from macroscopic models to continuum approach via homogenization	p. 321
Numerical simulations of a reacting gas mixture at the hydrodynamic scale	p. 334
Considerations about the Gibbs paradox	p. 341
Nonlinear stability in fluid-dynamics in the presence of stabilizing effects and the choice of a measure of perturbations	p. 352
An extended hydrodynamic model for a bipolar junction transistor	p. 366
A completely exceptional equation uniquely characterized by Lie symmetries	p. 372
Kinetic approach to transport properties of a reacting gas	p. 380
On the exact macroscopic approach to extended thermodynamics with 20 moments	p. 386
Judicious interpretation of the conditions present in extended thermodynamics	p. 393
Transport coefficients in stochastic models of the revised Enskog and square-well kinetic theories	p. 400
Probabilistic treatment of some dissipative kinetic models	p. 407
Asymptotic properties of solutions to nonlinear possibly degenerated parabolic equations in unbounded domains	p. 421
On group analysis of a class of energy-transport models of semiconductors in the two dimensional stationary case	p. 434
Some recent mathematical results in mixtures theory of Euler fluids	p. 441
Non linear wave propagation in binary mixtures of Euler fluids	p. 455
Hyperbolicity region for Fermi and Bose gases	p. 463
A cellular neural network applied to the equations of mathematical physics	p. 470
From kinetic systems to diffusion equations	p. 475
Asymptotic methods in option pricing	p. 482
Approximate inertial manifolds for thermodiffusion equations	p. 494
Linear stability of some exact solutions to ideal magneto-gas-dynamics equations	p. 500
Non-Boussinesq convection in porous media	p. 507
A new continuum model of solids incorporating microscopic thermal vibration and its application to wave propagation phenomena	p. 512
On partially invariant solutions of the Navier-Stokes equations	p. 524
Coupled-mode versus nonlinear Schrodinger equations for electromagnetic wave propagation in continuous media	p. 535
A new class of linearizable wave equations	p. 541
Wave features for a new continuum model of isotropic solids	p. 547
Stationary kinetic equations with collision terms relatively bounded with respect to the collision frequency	p. 555
On relative asymptotic stability with two measures via limiting equations	p. 564
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